411959680000 has 440 divisors, whose sum is σ = 1132651935360. Its totient is φ = 148469760000.

The previous prime is 411959679973. The next prime is 411959680043. The reversal of 411959680000 is 86959114.

It is a tau number, because it is divible by the number of its divisors (440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1147519821 + ... + 1147520179.

It is an arithmetic number, because the mean of its divisors is an integer number (2574208944).

Almost surely, 2^411959680000 is an apocalyptic number.

411959680000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411959680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566325967680).

411959680000 is an abundant number, since it is smaller than the sum of its proper divisors (720692255360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411959680000 is a wasteful number, since it uses less digits than its factorization.

411959680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 411959680000 in words is "four hundred eleven billion, nine hundred fifty-nine million, six hundred eighty thousand".